(1) A signal m(t) band-limited to 3kHz is sampled at a rate 100/3% higher than the Nyquist rate. The maximum acceptable error in the sample amplitude (the maximum quantization error) is 0.5% of the peak amplitude m,. The quantized samples are binary coded. Find the minimum bandwidth of a channel required to transmit the encoded binary signal. If 24 such signals are time-division- multiplexed, determine the minimum transmission bandwidth required to transmit the multiplexed signal.

(1) A signal m(t) band-limited to 3kHz is sampled at a rate 100/3% higher than the Nyquist rate. The maximum acceptable error in the sample amplitude (the maximum quantization error) is 0.5% of the peak amplitude m,. The quantized samples are binary coded. Find the minimum bandwidth of a channel required to transmit the encoded binary signal. If 24 such signals are time-division- multiplexed, determine the minimum transmission bandwidth required to transmit the multiplexed signal.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Concept explainers

Quantization and Resolution

Quantization is a methodology of carrying out signal modulation by the process of mapping input values from an infinitely long set of continuous values to a smaller set of finite values. Quantization forms the basic algorithm for lossy compression algorithms and represents a given analog signal into digital signals. In other words, these algorithms form the base of an analog-to-digital converter. Devices that process the algorithm of quantization are known as a quantizer. These devices aid in rounding off (approximation) the errors of an input function called the quantized value.

Probability of Error

This topic is widely taught in many undergraduate and postgraduate degree courses of:

Question

(1) A signal m(t) band-limited to 3kHz is sampled at a rate 100/% higher than the
Nyquist rate. The maximum acceptable error in the sample amplitude (the
maximum quantization error) is 0.5% of the peak amplitude m,. The quantized
samples are binary coded. Find the minimum bandwidth of a channel required
to transmit the encoded binary signal. If 24 such signals are time-division-
multiplexed, determine the minimum transmission bandwidth required to
transmit the multiplexed signal.

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